668681974800

Names of 668681974800

• Cardinal: 668681974800 can be written as Six hundred sixty-eight billion, six hundred eighty-one million, nine hundred seventy-four thousand, eight hundred.

Scientific notation

• Scientific notation: 6.686819748 × 10¹¹

Factors of 668681974800

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 300

Divisors of 668681974800

• Number of divisors d(n): 1080
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 30 35 36 40 42 43 45 48 50 56 60 63 70 72 75 80 84 86 90 100 105 112 113 120 126 127 129 140 144 150 168 172 175 180 200 210 215 225 226 240 252 254 258 280 300 301 315 336 339 344 350 360 381 387 400 420 430 450 452 504 508 516 525 560 565 600 602 630 635 645 678 688 700 720 762 774 791 840 860 889 900 903 904 1008 1016 1017 1032 1050 1075 1130 1143 1200 1204 1260 1270 1290 1356 1400 1505 1524 1548 1575 1582 1680 1695 1720 1778 1800 1806 1808 1849 1905 1935 2032 2034 2064 2100 2150 2260 2286 2373 2408 2520 2540 2580 2667 2709 2712 2800 2825 3010 3048 3096 3150 3164 3175 3225 3390 3440 3556 3600 3612 3698 3810 3870 3955 4068 4200 4300 4445 4515 4520 4572 4746 4816 4859 5040 5080 5085 5160 5334 5418 5424 5461 5547 5650 5715 6020 6096 6192 6300 6328 6350 6450 6780 7112 7119 7224 7396 7525 7620 7740 7910 8001 8136 8400 8475 8600 8890 9030 9040 9144 9245 9492 9525 9675 9718 10160 10170 10320 10668 10836 10922 11094 11300 11430 11865 12040 12600 12656 12700 12900 12943 13335 13545 13560 14224 14238 14351 14448 14577 14792 15050 15240 15480 15820 16002 16272 16383 16641 16950 17200 17780 18060 18288 18490 18984 19050 19350 19436 19775 20340 21336 21672 21844 22188 22225 22575 22600 22860 23730 24080 24295 25200 25400 25425 25800 25886 26670 27090 27120 27305 27735 28476 28575 28702 29154 29584 30100 30480 30960 31640 32004 32766 33282 33900 34013 35560 35595 36120 36980 37968 38100 38227 38700 38829 38872 39550 40005 40680 42672 43053 43344 43688 43731 44376 44450 45150 45200 45720 46225 47460 48590 49149 50800 50850 51600 51772 53340 54180 54610 55470 56952 57150 57404 58308 59325 60200 63280 64008 64715 65532 66564 66675 67725 67800 68026 71120 71190 71755 72240 72885 73960 76200 76454 77400 77658 77744 79100 80010 81360 81915 83205 86106 87376 87462 88752 88900 90300 91440 92450 94920 97180 98298 100457 101700 102039 103544 106680 108360 109220 110940 113904 114300 114681 114808 116487 116616 118650 120400 121475 128016 129159 129430 131064 133128 133350 135450 135600 136052 136525 138675 142380 143510 145770 147920 152400 152908 154800 155316 158200 160020 163830 166410 170065 172212 174924 177800 177975 180600 184900 189840 191135 194145 194360 196596 200025 200914 203400 204078 207088 208937 213360 215265 216720 218440 218655 221880 228600 229362 229616 232974 233232 234823 237300 242950 245745 258318 258860 262128 266256 266700 270900 272104 273050 277350 284760 287020 291540 301371 305816 306117 310632 316400 320040 323575 327660 332820 340130 344043 344424 349848 355600 355950 358775 361200 364425 369800 382270 388290 388720 393192 400050 401828 406800 408156 409575 416025 417874 430530 436880 437310 443760 457200 458724 465948 469646 474600 485900 491490 502285 510195 516636 517720 533400 541800 544208 546100 554700 569520 573405 574040 582435 583080 602742 611632 612234 617093 621264 626811 640080 645795 647150 655320 665640 680260 688086 688848 699696 704469 711900 717550 728850 739600 764540 776580 786384 800100 803656 816312 819150 832050 835748 850325 861060 874620 904113 917448 931896 939292 949200 955675 970725 971800 982980 1004570 1020390 1033272 1035440 1044685 1066800 1076325 1083600 1092200 1093275 1109400 1146810 1148080 1164870 1166160 1174115 1205484 1224468 1228725 1234186 1253622 1291590 1294300 1310640 1331280 1360520 1376172 1408938 1423800 1435100 1457700 1462559 1506855 1529080 1530585 1553160 1600200 1607312 1632624 1638300 1643761 1664100 1671496 1700650 1720215 1722120 1749240 1808226 1834896 1851279 1863792 1878584 1880433 1911350 1941450 1943600 1965960 2009140 2040780 2066544 2089370 2113407 2152650 2184400 2186550 2218800 2293620 2329740 2348230 2410968 2448936 2457450 2468372 2507244 2511425 2550975 2583180 2588600 2721040 2752344 2817876 2847600 2867025 2870200 2912175 2915400 2925118 3013710 3058160 3061170 3085465 3106320 3134055 3200400 3228975 3276600 3287522 3328200 3342992 3401300 3440430 3444240 3498480 3522345 3616452 3702558 3757168 3760866 3822700 3882900 3931920 4018280 4081560 4178740 4226814 4305300 4319651 4373100 4387677 4520565 4587240 4659480 4696460 4821936 4897872 4914900 4931283 4936744 5014488 5022850 5101950 5166360 5177200 5223425 5504688 5553837 5635752 5734050 5740400 5824350 5830800 5850236 5870575 6027420 6122340 6170930 6268110 6457950 6553200 6575044 6656400 6802600 6880860 7044690 7232904 7312795 7405116 7521732 7534275 7645400 7652925 7765800 8036560 8163120 8218805 8357480 8453628 8601075 8610600 8639302 8746200 8775354 9041130 9174480 9256395 9318960 9392920 9402165 9829800 9862566 9873488 10028976 10045700 10203900 10332720 10446850 10567035 11107674 11271504 11468100 11648700 11700472 11741150 12054840 12244680 12341860 12536220 12915900 12958953 13150088 13163031 13605200 13761720 14089380 14465808 14625590 14793849 14810232 15043464 15068550 15290800 15305850 15427325 15531600 15670275 16437610 16714960 16907256 17202150 17221200 17278604 17492400 17550708 17611725 18082260 18512790 18785840 18804330 19659600 19725132 20091400 20407800 20893700 21134070 21598255 21938385 22215348 22602825 22936200 23297400 23400944 23482300 24109680 24489360 24656415 24683720 25072440 25831800 25917906 26300176 26326062 26534999 27523440 27769185 28178760 29251180 29587698 29620464 30086928 30137100 30611700 30854650 31340550 32875220 33814512 34404300 34557208 35101416 35223450 36164520 36563975 37025580 37608660 38876859 39450264 40182800 40815600 41094025 41787400 42268140 43196510 43876770 44430696 45205650 45872400 46281975 46594800 46964600 47010825 49312830 49367440 50144880 51663600 51835812 52652124 52835175 53069998 55538370 56357520 58502360 59175396 60274200 61223400 61709300 62681100 64794765 65750440 65815155 68808600 69114416 70202832 70446900 72329040 73127950 73969245 74051160 75217320 77753718 78900528 79604997 82188050 83574800 84536280 86393020 87753540 88861392 90411300 92563950 93929200 94021650 98625660 103671624 105304248 105670350 106139996 107991275 109691925 111076740 117004720 118350792 120548400 122446800 123282075 123418600 125362200 129589530 131500880 131630310 132674995 137617200 138845925 140893800 146255900 147938490 148102320 150434640 155507436 159209994 164376100 169072560 172786040 175507080 180822600 185127900 185744993 188043300 194384295 197251320 207343248 210608496 211340700 212279992 215982550 219383850 222153480 236701584 238814991 246564150 246837200 250724400 259179060 263260620 265349990 277691850 281787600 292511800 295876980 311014872 318419988 323973825 328752200 329075775 345572080 351014160 361645200 369846225 370255800 371489986 376086600 388768590 394502640 398024985 422681400 424559984 431965100 438767700 444306960 477629982 493128300 518358120 526521240 530699980 555383700 557234979 585023600 591753960 622029744 636839976 647947650 657504400 658151550 663374975 739692450 740511600 742979972 752173200 777537180 796049970 845362800 863930200 877535400 928724965 955259964 971921475 986256600 1036716240 1053042480 1061399960 1110767400 1114469958 1183507920 1194074955 1273679952 1295895300 1316303100 1326749950 1479384900 1485959944 1555074360 1592099940 1671704937 1727860400 1755070800 1857449930 1910519928 1943842950 1972513200 1990124925 2122799920 2221534800 2228939916 2388149910 2591790600 2632606200 2653499900 2786174895 2958769800 2971919888 3110148720 3184199880 3343409874 3714899860 3821039856 3887685900 3980249850 4457879832 4643624825 4776299820 5183581200 5265212400 5306999800 5572349790 5917539600 5970374775 6368399760 6686819748 7429799720 7775371800 7960499700 8358524685 8915759664 9287249650 9552599640 10613999600 11144699580 11940749550 13373639496 13930874475 14859599440 15550743600 15920999400 16717049370 18574499300 19105199280 22289399160 23881499100 26747278992 27861748950 31841998800 33434098740 37148998600 41792623425 44578798320 47762998200 55723497900 66868197480 74297997200 83585246850 95525996400 111446995800 133736394960 167170493700 222893991600 334340987400 668681974800
• Sum of all divisors σ(n): 2760718731264
• Sum of proper divisors (its aliquot sum) s(n): 2092036756464
• 668681974800 is an abundant number, because the sum of its proper divisors (2092036756464) is greater than itself. Its abundance is 1423354781664

Bases of 668681974800

• Binary: 1001101110110000100011010011010000010000₂
• Hexadecimal: 0x9BB08D3410
• Base-36: 8J6RZDW0

Squares and roots of 668681974800

• 668681974800 squared (668681974800²) is 447135583422427835040000
• 668681974800 cubed (668681974800³) is 298991504926259187345035836992000000
• The square root of 668681974800 is 817729.7688111885
• The cube root of 668681974800 is 8744.5984612627

Scales and comparisons

• 668,681,974,800 seconds is equal to 21,262 years, 6 days, 17 hours.
• To count from 1 to 668,681,974,800 would take you about forty-two thousand, five hundred twenty-four years!

  This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)

• A cube with a volume of 668681974800 cubic inches would be around 728.7 feet tall.

Recreational maths with 668681974800

• 668681974800 backwards is 008479186866
• 668681974800 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 668681974800's digits is 63
• More coming soon!